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Finding the Fourth Proportional to 27,632.16, 38,133.36 and 15,696

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Solution

The fourth proportional to 27,632.16, 38,133.36 and 15,696 is: 21,661.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,632.16 : 38,133.36 = 15,696 : x
  2. Step 2: Convert to fraction form
    27,632.16/38,133.36 = 15,696/x
  3. Step 3: Cross multiply
    27,632.16x = 38,133.36 × 15,696
  4. Step 4: Simplify right side
    27,632.16x = 598,541,218.56
  5. Step 5: Solve for x
    x = 598,541,218.56/27,632.16
  6. Step 6: Final answer
    x = 21,661.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.